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It's official... Lightroom CC/6 is now here! The new features include face recognition, merge to HDR and panorama, GPU acceleration for interactive image editing performance improvements, a filter brush for gradients, much better slideshow effects, HTML5 web galleries, and million other little features besides.
You can read the loooooooong list of all the changes here.

‎Lightroom‬ CC 2015.1 and Lightroom 6.1 have just been released with a variety of bug fixes for everyone and a couple of new features for CC users. Click here for details then choose "Help > Updates" within Lightroom, or click Update from the Creative Cloud desktop application.

The tool that might work in LR will be the Clone tool where toy clone a part of the skin that is not showing the reflection to the part that does show the reflection. As Mark has indicated, seeing an example will help assess the difficulty and complexity of using the clone brush tool to solve your problem.

I'm just catching up with threads, so apologies for bumping one that's a few days old now. If you're still trying to find a way to do this, also consider using the normal adjustment brush to darken the reflection - just make it less obvious.